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Finding the Fourth Proportional to 38,221.74, 52,740.29 and 21,451.50

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Solution

The fourth proportional to 38,221.74, 52,740.29 and 21,451.50 is: 29,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.74 : 52,740.29 = 21,451.50 : x
  2. Step 2: Convert to fraction form
    38,221.74/52,740.29 = 21,451.50/x
  3. Step 3: Cross multiply
    38,221.74x = 52,740.29 × 21,451.50
  4. Step 4: Simplify right side
    38,221.74x = 1,131,358,330.94
  5. Step 5: Solve for x
    x = 1,131,358,330.94/38,221.74
  6. Step 6: Final answer
    x = 29,599.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.